Spin qubits in graphene quantum dots

Abstract

We propose how to form spin qubits in graphene. A crucial requirement to achieve this goal is to find quantum dot states where the usual valley degeneracy in bulk graphene is lifted. We show that this problem can be avoided in quantum dots based on ribbons of graphene with semiconducting armchair boundaries. For such a setup, we find the energies and the exact wave functions of bound states, which are required for localized qubits. Additionally, we show that spin qubits in graphene can not only be coupled between nearest neighbor quantum dots via Heisenberg exchange interaction but also over long distances. This remarkable feature is a direct consequence of the quasi-relativistic spectrum of graphene.

10 pages, 9 figures

References in corpus (14)

• Electric Field Effect in Atomically Thin Carbon Films
• Chiral tunneling and the Klein paradox in graphene
• Single-shot read-out of an individual electron spin in a quantum dot
• Electronic States of Graphene Nanoribbons
• Driven coherent oscillations of a single electron spin in a quantum dot
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Quantum-limited shot noise in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Magnetic confinement of massless Dirac fermions in graphene
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Quantum dots in graphene
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Transmission through a biased graphene bilayer barrier
• Local Fault-tolerant Quantum Computation

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• The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms
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• Spin States in Graphene Quantum Dots
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• Band-Selective Filter in a Zigzag Graphene Nanoribbon
• Hyperfine interaction and electron-spin decoherence in graphene and carbon nanotube quantum dots
• Charge Detection in Graphene Quantum Dots
• Hyperfine Interactions in Graphene and Related Carbon Nanostructures
• Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
• Spin-resolved scattering through spin-orbit nanostructures in graphene
• Bilayer graphene with single and multiple electrostatic barriers: band structure and transmission
• Spin-orbit coupling in a graphene bilayer and in graphite
• Transverse field effect in graphene ribbons
• Impurity Scattering and Mott's Formula in Graphene
• Wavevector-dependent spin filtering and spin transport through magnetic barriers in graphene
• Magnetic field induced confinement-deconfinement transition in graphene quantum dots
• Electromagnetic field induced suppression of transport through $n$-$p$ junctions in graphene
• Thermal entanglement in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii-Moriya interaction
• Electronic properties of graphene and graphene nanoribbons with "pseudo-Rashba" spin-orbit coupling
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• Transition to Landau Levels in Graphene Quantum Dots
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• Artifical atoms in interacting graphene quantum dots
• Nonequilibrium valley polarization in graphene nanoconstrictions
• Weak momentum scattering and the conductivity of graphene
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• Coulomb oscillations in three-layer graphene nanostructures
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